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Simplifying (r + -1s)(r2 + rs + s2) = 0 Reorder the terms: (r + -1s)(rs + r2 + s2) = 0 Multiply (r + -1s) * (rs + r2 + s2) (r(rs + r2 + s2) + -1s * (rs + r2 + s2)) = 0 ((rs * r + r2 * r + s2 * r) + -1s * (rs + r2 + s2)) = 0 Reorder the terms: ((rs2 + r2s + r3) + -1s * (rs + r2 + s2)) = 0 ((rs2 + r2s + r3) + -1s * (rs + r2 + s2)) = 0 (rs2 + r2s + r3 + (rs * -1s + r2 * -1s + s2 * -1s)) = 0 (rs2 + r2s + r3 + (-1rs2 + -1r2s + -1s3)) = 0 Reorder the terms: (rs2 + -1rs2 + r2s + -1r2s + r3 + -1s3) = 0 Combine like terms: rs2 + -1rs2 = 0 (0 + r2s + -1r2s + r3 + -1s3) = 0 (r2s + -1r2s + r3 + -1s3) = 0 Combine like terms: r2s + -1r2s = 0 (0 + r3 + -1s3) = 0 (r3 + -1s3) = 0 Solving r3 + -1s3 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 's3' to each side of the equation. r3 + -1s3 + s3 = 0 + s3 Combine like terms: -1s3 + s3 = 0 r3 + 0 = 0 + s3 r3 = 0 + s3 Remove the zero: r3 = s3 Simplifying r3 = s3 Combine like terms: s3 + -1s3 = 0 r3 + -1s3 = 0 The solution to this equation could not be determined.
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